Geodesic
A mapping for a~point spectrum and the uniqueness of a~solution to the inverse problem for a~Sobolev-type equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2010), pp. 55-64

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In this paper we study a mapping of a point spectrum of a multivalued linear operator that generates a strongly continuous semigroup. We obtain the necessary and sufficient conditions for the uniqueness of a solution to the inverse problem for a Sobolev-type equation.
Keywords: multivalued linear operator, inverse problem, uniqueness of a solution, semigroup of operators, phase field system of equations.
Mots-clés : Sobolev-type equation 
@article{IVM_2010_5_a6,
     author = {A. V. Urazaeva},
     title = {A mapping for a~point spectrum and the uniqueness of a~solution to the inverse problem for {a~Sobolev-type} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {55--64},
     publisher = {mathdoc},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_5_a6/}
}
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A. V. Urazaeva. A mapping for a~point spectrum and the uniqueness of a~solution to the inverse problem for a~Sobolev-type equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2010), pp. 55-64. http://geodesic.mathdoc.fr/item/IVM_2010_5_a6/